Water flows into a container through Tap V and flows out of the container through Tap W. The capacity of a container is 62 litres. When only Tap V is turned on, the container is completely filled in 16 minutes. When only Tap W is turned on, it takes
13 hour for all the water to flow out. If both taps are turned on at the same time,
- How long does it take to fill 44% of the container?
- How much water has flowed out through Tap W by the time the container is 45 filled with water? Express your answer in litres.
(a)
Tap V :
16 min → 1 container
1 min →
116 container
13 hour =
13 x 60 = 20 min
Tap W:
20 min → 1 container
1 min →
120 container
Tap V and Tap W:
1 min →
116 -
120 =
580 -
480 =
180 container
1 container →
801 = 80 min
44% container → 44% x 80 = 35.2 min
(b)
Time taken to fill
45 of the container
1 container → 80 min
45 container → 80 x
45 = 64 min
Volume that flows out per min
=
120 container
=
120 x 62
= 3.1 ℓ
Volume of water that flowed out through Tap W in 64 min
= 64 x 3.1
= 198.4 ℓ
Answer(s): (a) 35.2 min; (b) 198.4 ℓ